The kinetic energy of 1 kg of oxygen at 300 K is ` 1.169 xx 10^(5)` J . Find the kinetic energy of 2 kg of oxygen at 500 K.

Explanation

` T_(2) = 500 K ` Kinetic enregy `(K_(1)) = 1.169 xx 10^(5) J`
Kinetic erengy of agiven mass (m) of gas =`3/2 . (RT)/M xx m`
` K_(1) = (RT_(1))/M xx m_(2)`
` K_(2)/K_(1) = T_(2)/T_(1) xx m_(2)/m_(1) = 500/ 300 xx 2/1 = 10/3`
` K_(2) = 10/3 K_(1) = 10/3 (1.169 xx 10^(5) = 3.897 xx10^(3) J`
This gives the kinetic energy of 2 kg of oxygen at 500 K.